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The velocity time graph of a marble of mass 10g rolling along a straight line on a long table is given below. After study the graph answer the question given below. (a) what is the initial and final velocity of the marble? (b) calculate the initial and final momentum? (c) find the acceleration of the marble and force extende by the table on the marble to bring its to rest?
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The velocity time graph of a marble of mass 10g rolling along a straig...
Answer:
Initial and Final Velocity:
- The initial velocity of the marble is 0 m/s.
- The final velocity of the marble is also 0 m/s.
Initial and Final Momentum:
- The initial momentum of the marble can be calculated using the formula:
- Initial momentum (Pi) = mass (m) * initial velocity (vi)
- Here, the mass of the marble is 10g = 0.01kg and the initial velocity is 0 m/s.
- Therefore, initial momentum (Pi) = 0.01 kg * 0 m/s = 0 kg m/s.
- The final momentum of the marble can be calculated using the same formula:
- Final momentum (Pf) = mass (m) * final velocity (vf)
- Since the final velocity of the marble is also 0 m/s, the final momentum is also 0 kg m/s.
Acceleration and Force:
- The acceleration of the marble can be calculated using the formula:
- Acceleration (a) = change in velocity (Δv) / time taken (Δt)
- From the graph, we can see that the change in velocity of the marble is -0.5 m/s and the time taken for this change is 2 seconds.
- Therefore, acceleration (a) = -0.5 m/s / 2 s = -0.25 m/s2.
- The force extended by the table on the marble to bring it to rest can be calculated using Newton's second law of motion:
- Force (F) = mass (m) * acceleration (a)
- Here, the mass of the marble is 10g = 0.01kg and the acceleration is -0.25 m/s2.
- Therefore, force (F) = 0.01 kg * -0.25 m/s2 = -0.0025 N.
- The negative sign indicates that the force is in the opposite direction to the motion of the marble.
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The velocity time graph of a marble of mass 10g rolling along a straight line on a long table is given below. After study the graph answer the question given below. (a) what is the initial and final velocity of the marble? (b) calculate the initial and final momentum? (c) find the acceleration of the marble and force extende by the table on the marble to bring its to rest?
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The velocity time graph of a marble of mass 10g rolling along a straight line on a long table is given below. After study the graph answer the question given below. (a) what is the initial and final velocity of the marble? (b) calculate the initial and final momentum? (c) find the acceleration of the marble and force extende by the table on the marble to bring its to rest? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The velocity time graph of a marble of mass 10g rolling along a straight line on a long table is given below. After study the graph answer the question given below. (a) what is the initial and final velocity of the marble? (b) calculate the initial and final momentum? (c) find the acceleration of the marble and force extende by the table on the marble to bring its to rest? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The velocity time graph of a marble of mass 10g rolling along a straight line on a long table is given below. After study the graph answer the question given below. (a) what is the initial and final velocity of the marble? (b) calculate the initial and final momentum? (c) find the acceleration of the marble and force extende by the table on the marble to bring its to rest?.
The velocity time graph of a marble of mass 10g rolling along a straight line on a long table is given below. After study the graph answer the question given below. (a) what is the initial and final velocity of the marble? (b) calculate the initial and final momentum? (c) find the acceleration of the marble and force extende by the table on the marble to bring its to rest? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The velocity time graph of a marble of mass 10g rolling along a straight line on a long table is given below. After study the graph answer the question given below. (a) what is the initial and final velocity of the marble? (b) calculate the initial and final momentum? (c) find the acceleration of the marble and force extende by the table on the marble to bring its to rest? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The velocity time graph of a marble of mass 10g rolling along a straight line on a long table is given below. After study the graph answer the question given below. (a) what is the initial and final velocity of the marble? (b) calculate the initial and final momentum? (c) find the acceleration of the marble and force extende by the table on the marble to bring its to rest?.
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